A082358 Permutation of natural numbers: composition of permutations A057163 and A082356.

0, 1, 3, 2, 8, 7, 5, 4, 6, 22, 21, 18, 17, 20, 13, 12, 10, 9, 11, 19, 16, 15, 14, 64, 63, 59, 58, 62, 50, 49, 46, 45, 48, 61, 57, 55, 54, 36, 35, 32, 31, 34, 27, 26, 24, 23, 25, 33, 30, 29, 28, 60, 56, 47, 44, 53, 52, 43, 41, 40, 51, 42, 38, 37, 39, 196, 195, 190, 189, 194

Offset

0,3

Comments

This is the signature-permutation of Catalan automorphism which is derived from nonrecursive Catalan automorphism *A123496 with the recursion schema FORK (defined in A122201). - Antti Karttunen, Oct 11 2006

Links

Table of n, a(n) for n=0..69.

Index entries for signature-permutations induced by Catalan automorphisms

Formula

a(n) = A057163(A082356(n))

Prog

(Scheme) ;; Destructive implementation of this automorphism acting on S-expressions:
(define *A082358! (!FORK *A123496!)) ;; Antti Karttunen, Oct 11 2006

Crossrefs

Inverse of A082357.

Cf. A082359, A082360.

See the Wolframesque plots of A122242 and A122245.

Row 65796 of table A122201.

Sequence in context: A057503 A074684 A131003 * A130358 A122335 A122356

Adjacent sequences: A082355 A082356 A082357 * A082359 A082360 A082361

Keyword

nonn

Author

Antti Karttunen, Apr 17 2003

Status

approved